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109700352 = 283359269
BaseRepresentation
bin1101000100111…
…10010100000000
321122102100121000
412202132110000
5211040402402
614515132000
72501303046
oct642362400
9248370530
10109700352
1156a17553
12308a4000
131995bb68
14107d8396
15996dc1c
hex689e500

109700352 has 144 divisors (see below), whose sum is σ = 331128000. Its totient is φ = 35813376.

The previous prime is 109700347. The next prime is 109700369. The reversal of 109700352 is 253007901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407674 + ... + 407942.

It is an arithmetic number, because the mean of its divisors is an integer number (2299500).

Almost surely, 2109700352 is an apocalyptic number.

109700352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564000).

109700352 is an abundant number, since it is smaller than the sum of its proper divisors (221427648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109700352 is an equidigital number, since it uses as much as digits as its factorization.

109700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 109700352 is about 10473.7935820790. The cubic root of 109700352 is about 478.7065175123.

The spelling of 109700352 in words is "one hundred nine million, seven hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 256 269 288 354 384 432 472 531 538 576 708 768 807 864 944 1062 1076 1152 1416 1593 1614 1728 1888 2124 2152 2304 2421 2832 3186 3228 3456 3776 4248 4304 4842 5664 6372 6456 6912 7263 7552 8496 8608 9684 11328 12744 12912 14526 15104 15871 16992 17216 19368 22656 25488 25824 29052 31742 33984 34432 38736 45312 47613 50976 51648 58104 63484 67968 68864 77472 95226 101952 103296 116208 126968 135936 142839 154944 190452 203904 206592 232416 253936 285678 309888 380904 407808 428517 464832 507872 571356 619776 761808 857034 929664 1015744 1142712 1523616 1714068 1859328 2031488 2285424 3047232 3428136 4062976 4570848 6094464 6856272 9141696 12188928 13712544 18283392 27425088 36566784 54850176 109700352